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Simplifying (3s + -4)(s + -5) = 0 Reorder the terms: (-4 + 3s)(s + -5) = 0 Reorder the terms: (-4 + 3s)(-5 + s) = 0 Multiply (-4 + 3s) * (-5 + s) (-4(-5 + s) + 3s * (-5 + s)) = 0 ((-5 * -4 + s * -4) + 3s * (-5 + s)) = 0 ((20 + -4s) + 3s * (-5 + s)) = 0 (20 + -4s + (-5 * 3s + s * 3s)) = 0 (20 + -4s + (-15s + 3s2)) = 0 Combine like terms: -4s + -15s = -19s (20 + -19s + 3s2) = 0 Solving 20 + -19s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (4 + -3s)(5 + -1s) = 0Subproblem 1
Set the factor '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5Solution
s = {1.333333333, 5}
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